Question

A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it.

Answer 1

To find the revenue generated by selling x items, multiply the number of items by the selling price. Set the cost equal to the revenue to find the number of items needed to break even.

Step-by-step explanation:

To write an expression for the revenue generated by selling x items, we multiply the number of items (x) by the selling price per item ($5). So the expression for revenue is 5x.

To find the number of items needed to break even, we need to set the cost equal to the revenue. In this case, the cost is given by the expression 120 + 4x. So we set 120 + 4x equal to 5x and solve for x.

120 + 4x = 5x

Subtract 4x from both sides:

120 = x

So you would need to sell 120 items to break even.